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Coast

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Coast



 
 
The coast is defined as that part of the land adjoining or near the ocean
Ocean

An ocean is a major body of Seawater, and a principal component of the hydrosphere. Approximately 71% of the Earth's surface is covered by ocean, a World Ocean that is customarily divided into several principal oceans and smaller seas....
 or its saltwater arms. A precise line that can be called a coastline cannot be determined due to the process of tides.






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Genipabu Natal
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The coast is defined as that part of the land adjoining or near the ocean
Ocean

An ocean is a major body of Seawater, and a principal component of the hydrosphere. Approximately 71% of the Earth's surface is covered by ocean, a World Ocean that is customarily divided into several principal oceans and smaller seas....
 or its saltwater arms. A precise line that can be called a coastline cannot be determined due to the process of tides. The term "coastal zone" can be used instead, which is a spatial zone where interaction of the sea and land processes occurs. Both the terms coast and coastal are often used to describe a geographic location or region; for example, New Zealand's West Coast
West Coast, New Zealand

The West Coast is one of the List of regions in New Zealand, located on the west coast of the South Island, and is one of the more remote and most sparsely populated areas of the country....
, or the East
East Coast of the United States

The East Coast of the United States, also known as the "Eastern Seaboard" or "Atlantic Seaboard", refers to the easternmost coastal states in the central and northern United States, which touch the Atlantic Ocean and stretch up to Canada....
 and West Coasts of the United States
West Coast of the United States

The "West Coast", "Western Seaboard", or "Pacific Coastline" are terms for the westernmost coastal states of the United States. It most often comprises California, Oregon and Washington....
.

A pelagic coast refers to a coast which fronts the open ocean, as opposed to a more sheltered coast in a gulf
Headlands and bays

Headlands and bays are two related features of the coastal environment....
 or bay
Headlands and bays

Headlands and bays are two related features of the coastal environment....
. A shore
Shore

A shore or shoreline is the fringe of land at the edge of a large body of water, such as an ocean, sea, or lake.Shores are influenced by the topography of the surrounding landscape, as well as by water induced erosion, such as ocean surface wave....
, on the other hand, can refer to parts of the land which adjoin any large body of water, including oceans (sea shore) and lake
Lake

A lake is a terrain feature , a body of liquid on the surface of a world that is localized to the bottom of basin and moves slowly if it moves at all....
s (lake shore). Similarly, the somewhat related term "bank
Stream bed

A stream bed is the channel bottom of a stream, river or creek; the physical confine of the normal water flow. The lateral confines or channel margins, during all but flood stage, are known as the stream banks or river banks....
" refers to the land alongside or sloping down to a river
River

A river is a natural stream of water, usually freshwater, flowing toward an ocean, a lake, or another stream. In some cases a river flows into the ground or dries up completely before reaching another body of water....
 (riverbank) or to a body of water smaller than a lake. "Bank" is also used in some parts of the world to refer to an artificial ridge of earth intended to retain the water of a river or pond
Pond

A pond is a body of water smaller than a lake, both being examples of terrain feature. Although the term pond is universally used to describe waterbodies that are smaller than lakes, an internationally recognised size cutoff has not yet been agreed, with values ranging from 2 hectares to 8 hectares used to distinguish the smaller from...
. In other places this may be called a levee
Levee

A levee, lev?e, dike , embankment, floodbank or stopbank is a natural or artificial slope or wall to regulate water levels....
.

While many scientific experts might agree on a common definition of the term "coast", the delineation of the extents of a coast differ according to jurisdiction
Jurisdiction

In law, jurisdiction is the practical authority granted to a formally constituted legal body or to a political leader to deal with and make pronouncements on legal matters and, by implication, to administer justice within a defined area of responsibility....
, with many scientific and government authorities in various countries differing for economic and social policy reasons.

Formation of Coasts

The main agents responsible for deposition and erosion
Erosion

For morphological image processing operations, see Erosion 'For use of in dermatopathology, see Erosion Erosion is the removal of solids in the natural environment....
 along coastlines are waves
Ocean surface wave

In fluid dynamics wind waves, or more precisely wind generated waves, are surface waves that occur on the free surface of oceans, seas, lakes, rivers and canals ? or even on small puddles and ponds....
, tides and currents. The formation of coasts is also heavily influenced by their lithology. The harder the material the less likely it is to erode. Variants in the rock create different-shaped coastlines.

Tides often determine the range over which sediment
Sediment

Sediment is any particulate matter that can be sediment transport by fluid dynamics, and which eventually is deposited.Sediments are most often transported by water transported by wind and glaciers....
 is deposited or eroded. Areas with high tidal ranges allow waves to reach farther up the shore, and areas with lower tidal ranges produce deposition at a smaller elevation interval. The tidal range is influenced by the size and shape of the coastline. Tides do not typically cause erosion by themselves; however, tidal bore
Tidal bore

A tidal bore is a tide phenomenon in which the leading edge of the incoming tide forms a wave of water that travel up a river or narrow bay against the direction of the current....
s can erode as the waves surge up river estuaries
Estuary

An estuary is a semi-enclosed coastal body of water with one or more rivers or streams flowing into it, and with a free connection to the open sea....
 from the ocean.

Waves erode coastline as they break on shore releasing their energy; the larger the wave the more energy it releases and the more sediment it moves. Coastlines with longer shores have more room for the waves to disperse their energy, while coasts with cliffs and short shore faces give little room for the wave energy to be dispersed. In these areas the wave energy breaking against the cliffs is higher, and air and water are compressed into cracks in the rock, forcing the rock apart, breaking it down. Sediment deposited by waves comes from eroded cliff faces and is moved along the coastline by the waves.

Sediment deposited by rivers is the dominant influence on the amount of sediment located on a coastline. Today riverine deposition at the coast is often blocked by dams and other human regulatory devices, which remove the sediment from the stream by causing it to be deposited inland.

Like the ocean which shapes them, coasts are a dynamic environment with constant change. The earth's natural processes, particularly sea level rise, wave
Wave

A wave is a disturbance that propagates through space and time, usually with transference of energy. While a mechanical wave exists in a medium , waves of electromagnetic radiation can travel through vacuum, that is, without a medium....
s and various weather
Weather

Weather is a set of all the Phenomenon occurring in a given atmosphere at a given time. Weather phenomena lie in the hydrosphere and troposphere....
 phenomena, have resulted in the erosion
Erosion

For morphological image processing operations, see Erosion 'For use of in dermatopathology, see Erosion Erosion is the removal of solids in the natural environment....
, accretion
Accretion (geology)

Accretion is a process by which material is added to a tectonic plate or a landmass. This material may be sediment, volcanic arcs, seamounts or other igneous features....
 and reshaping of coasts as well as flood
Flood

A flood is an overflow of an expanse of water that submerges land, a deluge. In the sense of "flowing water", the word may also be applied to the inflow of the tide....
ing and creation of continental shelves
Continental shelf

The continental shelf is the extended perimeter of each continent and associated coastal plain, and was part of the continent during the glacial periods, but is undersea during Ice age such as the current epoch by relatively shallow seas and Bay....
 and drowned river valleys (ria
Ria

A ria is a landform, often referred to as a drowned river valley. Rias are almost always estuaries. Rias form where sea levels rise relative to the land either as a result of eustatic sea level change , or isostatic sea level change ....
s).

Environmental importance

The coast and its adjacent areas on and off shore is an important part of a local ecosystem
Ecosystem

An ecosystem is a natural unit consisting of all plants, animals and micro-organisms in an area functioning together with all of the non-living physical factors of the environment....
 as the mixture of fresh water and salt
Salt

A salt, in chemistry, is defined as the product formed from the neutralisation reaction of acids and base . Salts are ionic compounds composed of cations and anions so that the product is electrically electric charge ....
 water in estuaries
Estuary

An estuary is a semi-enclosed coastal body of water with one or more rivers or streams flowing into it, and with a free connection to the open sea....
 provides many nutrients for marine life. Salt marsh
Marsh

In geography, a marsh, or morass, is a type of wetland which is subject to frequent or continuous flood . Typically the water is shallow and features Poaceaees, Juncaceaees, Phragmites, typhas, Cyperaless, and other herbaceous plants....
es and beach
Beach

File:MiamiSouthBeachPanoramaEdit.jpgA beach is a geology landform along the shoreline of a body of water. It usually consists of loose particles which are often composed of Rock , such as sand, gravel, shingle beach, pebbles, or cobble....
es also support a diversity of plant
Plant

Plants are Life organisms belonging to the Kingdom Plantae. They include familiar organisms such as trees, herbs, bushes, grasses, vines, ferns, mosses, and green algae....
s, animal
Animal

Animals are a major group of multicellular, eukaryotic organisms of the Kingdom Animalia or Metazoa. Their body plan eventually becomes fixed as they develop, although some undergo a process of metamorphosis later on in their life....
s, and insect
Insect

Insects are the biggest class of arthropods and the only ones with wings. They are the most diverse group of animals on the planet. They are most diverse at the equator and their diversity declines toward the poles....
s crucial to the food chain
Food chain

Food chains, also called, food networks and/or trophic social networks, describe the eating relationships between species within an ecosystem....
.

The high level of biodiversity
Biodiversity

Biodiversity is the variation of life forms within a given ecosystem, biome, or for the entire Earth. Biodiversity is often used as a measure of the health of biological systems....
 creates a high level of biological activity, which has attracted human activity for thousands of years.

Human impacts


Human uses of coasts

Marbleheadcoastline
An increasing part the global population inhabits coastal regions. Many of the world's major cities have been built on or near good harbours and have port
Port

||-||-|-||-||-||-||-||-||-|}A port is a facility for receiving ships and transferring cargo. They are usually found at the edge of an ocean, sea, river, or lake....
 facilities. Jurisdictions that are landlocked
Landlocked

A landlocked country is commonly defined as one enclosed or nearly enclosed by land. As of 2008, there are 44 landlocked countries in the world....
 have achieved port status by such measures such as building canal
Canal

Canals are artificial channels for water. There are two types of canals: Aqueduct canals, which are used for the conveyance and delivery of water, and waterways, which are navigable transportation canals used for passage of goods and people, often connected to existing lakes, rivers, or oceans....
s.

The coast is a crucial frontier and must be defended against military invaders, smugglers and illegal migrants. Fixed Coastal defenses have long been erected in many nations and coastal countries also require a navy
Navy

A navy is the branch of a nation's military forces principally designated for naval warfare and amphibious warfare; namely, lake- or ocean-borne combat operations and related functions....
 and some form of coast guard
Coast guard

A coast guard is a national organization responsible for various services at sea. However the term implies widely different responsibilities in different countries....
.

Coasts, especially those with beach
Beach

File:MiamiSouthBeachPanoramaEdit.jpgA beach is a geology landform along the shoreline of a body of water. It usually consists of loose particles which are often composed of Rock , such as sand, gravel, shingle beach, pebbles, or cobble....
es and warm water are an important draw for tourists. In many island nation
Island nation

An island country is a country whose primary territory consists of one or more islands or parts of islands. As of 2008, forty-seven of the List of countries are island countries....
s such as those of the Mediterranean, South Pacific and Caribbean, tourism is central to the economy. Coasts are popular destinations because of recreational activities such as swimming
Swimming

Swimming is the movement by humans or animals through water, usually without artificial assistance. Swimming is an activity that can be both useful and recreational....
, fishing
Fishing

Fishing is the activity of catching fish. Fishing techniques include Fish net, Fish trap, Spearfishing, angling and Gathering seafood by hand. The term fishing may be applied to catching other aquatic animals such as different types of shellfish, squid, octopus, turtles, Edible frog and some edible marine invertebrates....
, surfing
Surfing

Surfing refers to a person or boat riding down a wave and thereby gathering speed from the downward movement. Most commonly, the term is used for a surface water sports in which the person surfing is carried along the face of a breaking ocean surface wave standing on a surfboard....
, boating
Boating

Boating, the leisurely activity of traveling by boat typically refers to the recreational use of boats whether power boats, Sailing, or yachts , focused on the travel itself, as well as sports activities, such as fishing or waterskiing....
, and sunbathing
Sunlight

Sunlight, in the broad sense, is the total spectroscopy of the electromagnetic radiation given off by the Sun. On Earth, sunlight is Filter ed through the Earth's atmosphere, and the solar radiation is obvious as daylight when the Sun is above the horizon....
. Growth management
Growth management

Growth management is a set of techniques used by government to ensure that as the population grows that there are services available to meet their demands....
 can be a challenge for coastal local authorities
Local government

Local governments are administrative offices that are smaller than a state. The term is used to contrast with offices at nation-state level, which are referred to as the central government, national government, or federal government....
 who often struggle to provide the infrastructure
Infrastructure

Infrastructure can be defined as the basic physical and organizational structures needed for the operation of a society or enterprise , or the services and facilities necessary for an economy to function....
 required by new residents.

Threats to a coast

Coasts also face many environmental challenges relating to human-induced impacts. The human influence on climate change
Climate change

Climate change is any long-term significant change in the expected patterns of average weather of a specific region over an appropriately significant period of time....
 is thought to be a contributing factor of an accelerated trend in sea level rise which threatens coastal habitat.

Pollution
Marine pollution

Marine pollution occurs when harmful effects, or potentially harmful effects, can result from the entry into the ocean of chemicals, particle , industrial, agricultural and residential waste, or the spread of invasive organisms....
 can occur from a number of sources: garbage and industrial debris
Marine debris

Marine debris, also known as marine litter, is human-created waste that has deliberately or accidentally become afloat in a lake, sea, ocean or waterway....
, the transport
Transport

Transport or transportation is the movement of passenger and cargo from one location to another. Transport is performed by various modes of transport, such as aviation, rail transport, road transport, ship transport, cable transport, pipeline transport and space transport....
ation of petroleum
Petroleum

Petroleum or crude oil is a naturally occurring, flammable liquid found in rock formations in the Earth consisting of a complex mixture of hydrocarbons of various molecular weights, plus other organic compounds....
 in tankers
Tanker (ship)

A tank ship or tankship, often referred to as a tanker is a ship designed to transport liquids in Bulk liquids. Major types of tankship include the oil tanker, the chemical tanker, and the liquefied natural gas carrier....
, increasing the probability of large oil spill
Oil spill

An oil spill is the release of a liquid petroleum hydrocarbon into the environment due to human activity, and is a form of pollution. The term often refers to Marine oil spills, where oil is released into the ocean or coastal waters....
s, small oil spills created by large and small vessels, which flush bilge
Bilge

The bilge is the lowest compartment on a ship where the two sides meet. The word was first coined in 1523.The word is sometimes also used to describe the water that collects in this compartment....
 water into the ocean.

Fishing has diminished due to habitat degradation
Environmental effects of fishing

File:Fishing down the food web.jpgThe environmental effects of fishing can be divided into issues that involve the availability of fish to be caught, such as overfishing, sustainable fisheries, and fisheries management; and issues that involve the impact of fishing on the environment, such as by-catch....
, overfishing
Overfishing

Overfishing occurs when fishing activities reduce fish stocks below an acceptable level. This can occur in any body of water from a pond to the oceans....
, trawling
Trawling

Trawling is a method of fishing that involves pulling a large fishing net through the water behind one or more boats. The net that is used for trawling is called a trawl....
, bycatch and climate change
Climate change

Climate change is any long-term significant change in the expected patterns of average weather of a specific region over an appropriately significant period of time....
. Since the growth of global fishing enterprises after the 1950’s, intensive fishing has gone from a few concentrated areas to encompass nearly all fisheries. The scraping of the ocean floor in bottom dragging
Bottom trawling

Bottom trawling is trawling along the sea floor.The scientific community divides bottom trawling into Benthic zone trawling and Demersal zone trawling....
 is devastating to coral, sponges and other long-lived species that do not recover quickly. This destruction alters the functioning of the ecosystem and can permanently alter species composition and biodiversity. Bycatch, the capture of unintended species in the course of fishing, is typically returned the ocean only to die from injuries or exposure. Bycatch represents approximately ¼ of all marine catch. In the case of shrimp capture, the bycatch is five times larger than the shrimp caught.

Conservation

Extraordinary population growth in the 20th century has placed stress on the planet’s ecosystems. For example, on St. Lucia, harvesting mangrove for timber and clearing for fishing drove the mangrove forests to low levels, resulting in a loss of habitat and spawning ground for marine life that was unique to the area. These forests also helped to stabilize the coastline. Conservation efforts since the 1980’s have partially restored the ecosystem.

Types of coast


An emergent coastline is a coastline which has experienced a fall in sea level, because of either a global sea level change, or local uplift. Emergent coastlines are identifiable by the coastal landform
Landform

In the earth sciences and geology sub-fields a landform or physical feature comprises a geomorphology unit, and is largely defined by its surface form and location in the landscape, as part of the terrain, and as such, is typically an element of topography....
s, which are above the high tide mark, such as raised beach
Raised beach

Sorry, no overview for this topic
es. Alternatively, a submergent coastline is a coastline which has experienced a rise in sea level, due to a global sea level change, local subsidence
Subsidence

In geology, engineering, and surveying, subsidence is the motion of a surface as it shifts downward relative to a datum such as sea-level. The opposite of subsidence is Tectonic uplift, which results in an increase in elevation....
, or isostatic rebound. Submergent coastlines are identifiable by their submerged, or "drowned" landforms, such as ria
Ria

A ria is a landform, often referred to as a drowned river valley. Rias are almost always estuaries. Rias form where sea levels rise relative to the land either as a result of eustatic sea level change , or isostatic sea level change ....
s (drowned valleys) and fjord
Fjord

Geologically, a fjord or fiord is a long, narrow inlet with steep sides, created in a valley carved by Glacier....
s.

A concordant coastline is a coastline where bands of different rock types run parallel to the shore. These rock types are usually of alternating resistance, so the coastline forms distinctive landforms, such as coves. A discordant coastline is a type of coastline formed when rock types of alternating resistance run perpendicular to the shore. Discordant coastlines feature distinctive landforms because the rocks are eroded
Erosion

For morphological image processing operations, see Erosion 'For use of in dermatopathology, see Erosion Erosion is the removal of solids in the natural environment....
 by ocean
Ocean

An ocean is a major body of Seawater, and a principal component of the hydrosphere. Approximately 71% of the Earth's surface is covered by ocean, a World Ocean that is customarily divided into several principal oceans and smaller seas....
 waves
WAVES

The WAVES were a World War II-era division of the United States Navy that consisted entirely of women. The name of this group is an acronym for "Women Accepted for Volunteer Emergency Service" ; the word "emergency" implied that the acceptance of women was due to the unusual circumstances of the war and that at the end of the war the women...
. The less resistant rocks erode faster, creating inlet
Inlet

An inlet is a narrow body of water between islands or leading inland from a larger body of water, often leading to an enclosed body of water, such as a Sound , bay , lagoon or marsh....
s or bays
Headlands and bays

Headlands and bays are two related features of the coastal environment....
; the more resistant rocks erode more slowly, remaining as headlands
Headlands and bays

Headlands and bays are two related features of the coastal environment....
 or outcroppings.

Coastal landforms

The following articles describe some coastal landforms:

Cliff erosion


  • Much of the sediment deposited along a coast is the result of erosion of a surrounding Cliff
    Cliff

    In geography and geology, a cliff is a significant vertical, or near vertical, rock exposure. Cliffs are formed as erosion landforms due to the processes of erosion and weathering that produce them....
    , or bluff. Sea Cliffs retreat landward because of the constant undercutting of slopes by waves. If the slope/cliff being undercut is made of unconsolidated sediment it will erode at a much faster rate then a cliff made of bedrock. (Easterbrook 1999).
  • A Natural arch
    Natural arch

    A natural arch or natural bridge is a natural formation where a Rock arch forms, with a natural passageway through underneath. Most natural arches form as a narrow ridge, walled by cliffs, become narrower from erosion, with a softer rock stratum under the cliff-forming stratum gradually eroding out until the rock shelters thus forme...
     is formed when a sea stacks is eroded through by waves.
  • Sea caves
    Sea caves

    A sea cave, also known as a littoral cave, is a type of cave formed primarily by the wave action of the sea. The primary process involved is erosion....
     are made when certain rock beds are more susceptible to erosion than the surrounding rock beds because of different areas of weakness. These areas are eroded at a faster pace creating a hole or crevasse that, through time, by means of wave action and erosion, becomes a cave.
  • A Stack
    Stack (geology)

    A stack is a Geology landform consisting of a steep and often vertical column or columns of rock in the sea near a coast. Stacks are formed when part of a headlands and bays is erosion by hydraulic action, which is the force of the sea or water crashing against the rock....
     is formed when a headland is eroded away by wave and wind action.
  • A Stump
    Stump

    Stump may refer to:*Tree stump, the rooted remains of a felled tree*Stump , one of three small wooden posts which the fielding team attempt to hit with the ball...
     is a shortened sea stacks that has been eroded away or fallen because of instability.
  • Wave-cut notches are caused by the undercutting of overhanging slopes which leads to increased stress on cliff material and a greater probability that the slope material will fall. The fallen debris accumulates at the bottom of the cliff and is eventually removed by waves.
  • A Wave cut platform forms after erosion and retreat of a sea cliff has been occurring for a long time. Gently sloping wave-cut platforms develop early on in the first stages of cliff retreat. Later the length of the platform decreases because the waves lose their energy as they break further off shore (Easterbrook 1999).


Rivers on the coastline

  • Delta
    River delta

    A delta is a landform that is created at the mouth of a river where that river flows into an ocean, sea, estuary, lake, reservoir, flat arid area, or another river....
  • Estuary
    Estuary

    An estuary is a semi-enclosed coastal body of water with one or more rivers or streams flowing into it, and with a free connection to the open sea....


Coastal features formed by sediment


Coastal features formed by another feature

  • Lagoon
    Lagoon

    A lagoon is a body of comparatively shallow sea water or brackish water separated from the deeper sea by a shallow or exposed Bar , reef, or similar feature....
  • Salt marsh


Other features on the coast


Coastal processes

The following articles describe the various geologic processes that affect a coastal zone:

Wildlife


Animals

Animals living along the coast vary enormously, some live along coasts to nest like puffin
Puffin

Puffins are any of four auk species in the bird genus Fratercula with a brightly coloured beak in the breeding season. These are pelagic zone seabirds that feed primarily by diving in the water....
s, sea turtles and rockhopper penguin
Rockhopper penguin

The rockhopper penguins are two species of penguins that until recently were considered conspecific under the name Rockhopper Penguin :* Southern Rockhopper Penguin, Eudyptes chrysocome....
s. Sea snails and various kinds of barnacle
Barnacle

A barnacle is a type of arthropod belonging to infraclass Cirripedia in the Subphylum Crustacean, and is hence distantly related to crabs and lobsters....
s live on the coast and scavenge on food deposited by the sea. Most coastal animals are used to humans in developed areas, such as dolphin
Dolphin

File:Bottlenose_Dolphin_KSC04pd0178.jpgDolphins are marine mammals that are closely related to whales and porpoises. There are almost forty species of dolphin in seventeen genus....
s and seagulls who eat food thrown for them by tourists. Since the coastal areas are all part of the littoral zone, there is a profusion of marine life found just off-coast.

There are many kinds of seabirds on the coast. Pelican
Pelican

A pelican is a large water bird with a distinctive pouch under the beak, belonging to the bird Family Pelecanidae.Along with the darters, cormorants, gannets, boobys, frigatebirds, and tropicbirds, pelicans make up the order Pelecaniformes....
s and cormorant
Cormorant

The bird family Phalacrocoracidae is represented by some 40 species of cormorants and shags. Several different classifications of the family have been proposed recently, and the number of Genus is disputed....
s join up with tern
Tern

Terns are seabirds in the family Sternidae, previously considered a subfamily of the gull family Laridae . They form a lineage with the gulls and skimmers which in turn is related to skuas and auks....
s and oystercatcher
Oystercatcher

The oystercatchers are a group of waders; they form the family Haematopodidae, which has a single genus, Haematopus. They are found on coasts worldwide apart from the polar regions and some tropical regions of Africa and South East Asia....
s to forage for fish and shellfish on the coast.

Plants

Coastal areas are famous for their kelp
Kelp

Kelp are large seaweed plants , belonging to the brown algae and classified in the order Laminariales. There are about 30 different genus. Some species can be very long and form kelp forests....
 beds. Kelp
Kelp

Kelp are large seaweed plants , belonging to the brown algae and classified in the order Laminariales. There are about 30 different genus. Some species can be very long and form kelp forests....
 is a fast growing seaweed
Seaweed

Seaweed is a loose colloquial term encompassing macroscopic, multicellular, benthos ocean algae. The term includes some members of the rhodophyta, phycophyta and green algae....
 that grows up to a metre
Metre

The metre or meter is a Unit of measurement of length. It is the SI base unit of length in the metric system and in the International System of Units , used around the world for general and scientific purposes....
 a day. Coral
Coral

Corals are marine organisms from the class Anthozoa and exist as small sea anemone?like polyps, typically in colonies of many identical individuals....
s and anemone
Sea anemone

Sea anemones are a group of water dwelling, predation animals of the order Actiniaria; they are named after the anemone, a terrestrial flower....
s are true animals, but live a similar lifestyle as plants do.

Coastline statistics


The coastline problem

At some time in the years immediately preceding 1951, Lewis Fry Richardson
Lewis Fry Richardson

Lewis Fry Richardson, Fellow of the Royal Society   was an English mathematician, physicist, meteorologist, psychologist and pacifist who pioneered modern mathematical techniques of weather forecasting, and the application of similar techniques to studying the causes of wars and how to prevent them....
 in researching the possible effect of border lengths on the probability of war noticed that the Portuguse
Portugal

Portugal , officially the Portuguese Republic , is a country on the Iberian Peninsula. Located in southwestern Europe, Portugal is the westernmost country of mainland Europe and is bordered by the Atlantic Ocean to the west and south and by Spain to the north and east....
 reported their measured border with Spain
Spain

Spain or the Kingdom of Spain , is a country located in Southern Europe on the Iberian Peninsula.The Spanish constitution does not establish any official denomination of the country, even though Espa?a , Estado espa?ol and Naci?n espa?ola are used interchangeably....
 to be 987 km, but the Spanish reported it to be 1214 km. This was the beginning of the coastline problem, which is how to arrive at an estimate of a boundary that is infinite.

The prevailing method of estimating a border (or coastline) was to lay off n equal straight-line segments of length l with dividers
Dividers

A dividers, also known as a measuring compass, is a mathematics, Technical drawing or cartography instrument used to aid measurements of the length of irregular lines and of distances on Map....
 on a map or aerial photograph. Each end of the segment must be on the boundary. Investigating the discrepancies in border estimation Richardson discovered what is now termed the Richardson Effect: the sum of the segments is inversely proportional to the common length of the segments. In effect, the shorter the ruler, the longer the measured border; thus, the Spanish and Portuguese geographers were using different-length rulers.

The result most astounding to Richardson is that, as l approaches zero, the length of the coastline approaches infinity
Infinity

Infinity comes from the Latin infinitas or "unboundedness." It refers to several distinct concepts – usually linked to the idea of "without end" – which arise in philosophy, mathematics, and theology....
. Richardson had believed, based on Euclidean geometry, that a coastline would approach a fixed length, as do similar estimations of regular geometric figures. For example, the perimeter
Perimeter

A perimeter is a path that bounds an area. The word comes from the Greek peri and meter . The term may be used either for the path or its length....
 of a regular polygon
Polygon

In geometry a polygon is traditionally a plane Shape that is bounded by a closed curve path or circuit, composed of a finite sequence of straight line segments ....
 inscribed in a circle
Circle

A circle is a simple shape of Euclidean geometry consisting of those point in a plane which are the same distance from a given point called the center....
 approaches the circumference
Circumference

The circumference is the distance around a closed curve. Circumference is a kind of perimeter....
 with increasing numbers of sides (and decrease in the length of one side). In Geometric measure theory
Geometric measure theory

In mathematics, geometric measure theory is the study of the geometry properties of the measure of Set , including such things as arc lengths and areas....
 such a smooth curve as the circle that can be approximated by small straight segments with a definite limit is termed a rectifiable curve.

Describing a coastline

More than a decade after Richardson's work was finished, Benoit Mandelbrot
Benoît Mandelbrot

Beno?t B. Mandelbrot is a French people mathematics, best known as the father of fractal. He is Sterling Professor of Mathematical Sciences, Emeritus at Yale University; IBM Fellow Emeritus at the Thomas J....
 invented a new branch of mathematics
Mathematics

Mathematics is the study of quantity, structure, space, change, and related topics of pattern and form. Mathematicians seek out patterns whether found in numbers, space, natural science, computers, imaginary abstractions, or elsewhere....
, fractal geometry, to describe just such non-rectifiable complexes in nature as the infinite coastline. His own definition of the new figure serving as the basis for his study is:

A key property of the fractal is self-similarity
Self-similarity

In mathematics, a self-similar object is exactly or approximately similarity to a part of itself . Many objects in the real world, such as coastlines, are statistically self-similar: parts of them show the same statistical properties at many scales....
; that is, at any scale
Scale (spatial)

Spatial scale provides a "shorthand" form for discussing relative lengths, areas, distances and sizes. A microclimate, for instance, is one which might occur in a mountain valley or near a lakeshore, whereas a megatrend is one which involves the whole planet....
 the same general configuration appears. A coastline is perceived as bays alternating with promontories. No matter how greatly any one small section of coastline is magnified, a similar pattern of bays and promontories on bays and promontories appears, right down to the grains of sand. At that scale the coastline appears as a momentarily shifting, potentially infinitely long thread with a stochastic
Stochastic

Stochastic means random.A stochastic process is one whose behavior is non-Deterministic system in that a system's subsequent state is determined both by the process's predictable actions and by a random element....
 arrangement of bays and promontories formed from the small objects at hand. In such a real environment (as opposed to smooth curves) Mandelbrot asserts "coastline length turns out to be an elusive notion that slips between the fingers of those who want to grasp it."

A coastline is definitely to be represented by a fractal. However, there are different kinds of fractals. A coastline is in "a first category of fractals, namely curves whose fractal dimension is greater than 1." That last statement represents an extension by Mandelbrot of Richardson's thought. Mandelbrot's statement of the Richardson Effect is:

where L, coastline length, a function of the measurement unit, e, is approximated by the expression. F is a constant and D is a parameter that Richardson found depended on the coastline approximated by L. He gave no theoretical explanation but Mandelbrot identified L with a non-integer form of the Hausdorff dimension
Hausdorff dimension

In mathematics, the Hausdorff dimension is an Extended real number line non-negative real number associated to any metric space. The Hausdorff dimension generalizes the notion of the dimension of a real vector space....
, later the fractal dimension. Rearranging the right side of the expression obtains:

where Fe-D must be the number of units e required to obtain L. The fractal dimension is the number of the dimensions of the figure being used to approximate the fractal: 0 for a dot, 1 for a line, 2 for a square. D in the expression is between 1 and 2, for coastlines typically less than 1.5. The broken line measuring the coast does not extend in one direction nor does it represent an area, but is intermediate. It can be interpreted as a thick line or band of width 2e. More broken coastlines have greater D and therefore L is longer for the same e. Mandelbrot showed that D is independent of e.

See also


External links